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LCM of 949, 759, 267, 204, 395

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 949, 759, 267, 204, 395 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 949, 759, 267, 204, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,759,267,204,395

Given numbers are 949,759,267,204,395

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 949,759,267,204,395 is 1721884447140.

Find LCM of 949,759,267,204,395 with Prime Factorization


3 949, 759, 267, 204, 395
949, 253, 89, 68, 395

Multiply the prime numbers at the bottom and the left side.

3 x 949 x 253 x 89 x 68 x 395 = 1721884447140

Therefore, the lowest common multiple of 949,759,267,204,395 is 1721884447140.

LCM Formula to Find Lowest Common Multiple of 949,759,267,204,395

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

949 x 759 x 267 x 204 x 395 = 15496960024260

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

949 : 1, 13, 73, 949

759 : 1, 3, 11, 23, 33, 69, 253, 759

267 : 1, 3, 89, 267

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,759,267,204,395, is 1.

Now, the common factors can be found like this.

949:13x 73

759:3x 11x 23

267:3x 89

204:2x 2x 3x 17

395:5x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15496960024260/(1x9)

LCM = 15496960024260/9

LCM = 1721884447140

Thus, we can understand that the LCM of 949,759,267,204,395 is 1721884447140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 759, 267, 204, 395

1. What is the LCM of 949, 759, 267, 204, 395?

Answer: LCM of 949, 759, 267, 204, 395 is 1721884447140.

2. How to calculate the LCM of 949, 759, 267, 204, 395?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 949, 759, 267, 204, 395.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.